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What is the Least Common Multiple of 27187 and 27195?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 27187 and 27195 is 739350465.

LCM(27187,27195) = 739350465

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Least Common Multiple of 27187 and 27195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27187 and 27195, than apply into the LCM equation.

GCF(27187,27195) = 1
LCM(27187,27195) = ( 27187 × 27195) / 1
LCM(27187,27195) = 739350465 / 1
LCM(27187,27195) = 739350465

Least Common Multiple (LCM) of 27187 and 27195 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27187 and 27195. First we will calculate the prime factors of 27187 and 27195.

Prime Factorization of 27187

Prime factors of 27187 are 31, 877. Prime factorization of 27187 in exponential form is:

27187 = 311 × 8771

Prime Factorization of 27195

Prime factors of 27195 are 3, 5, 7, 37. Prime factorization of 27195 in exponential form is:

27195 = 31 × 51 × 72 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 27187 and 27195.

LCM(27187,27195) = 311 × 8771 × 31 × 51 × 72 × 371
LCM(27187,27195) = 739350465